Kaluza-Klein theory for teleparallel gravity

Abstract

We study teleparallel gravity in the \emph{original} Kaluza-Klein (KK) scenario. Our calculation of the KK reduction of teleparallel gravity indicates that the 5-dimensional torsion scalar ${}^{(5)}T$ generates the non-Brans-Dicke type effective Lagrangian in 4-dimension due to an additional coupling between the derivative of the scalar field and torsion, but the result is equivalent to that in general relativity. We also discuss the cosmological behavior in the FLRW universe based on the effective teleparallel gravity.

8 pages, no figure, Phys. Lett. B737 (2014) 248-250

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Cited by in corpus (24)

• f(T) teleparallel gravity and cosmology
• Teleparallel Gravity: From Theory to Cosmology
• The covariant formulation of f(T) gravity
• Teleparallel Theories of Gravity: Illuminating a Fully Invariant Approach
• Dynamical features of scalar-torsion theories
• New observational constraints on $f(T)$ gravity through gravitational-wave astronomy
• $f(T)$ gravitational baryogenesis
• Updated constraints on $f(T)$ models using direct and indirect measurements of the Hubble parameter
• Tensor perturbations of $f(T)$-branes
• Teleparallel Equivalent of Lovelock Gravity
• Domain wall brane in a reduced Born-Infeld-$f(T)$ theory
• Modified teleparallel gravity with higher-derivative torsion terms
• McVittie solution in f(T) gravity
• Braneworld in $f(T)$ Gravity Theory with Noncanonical Scalar Matter Field
• Gravitational resonances on $f(T)$-branes
• Inflation with teleparallelism: Can torsion generate primordial fluctuations without local Lorentz symmetry?
• Gravitational resonances on $f(R)$-brane
• Teleparallel Equivalent of Lovelock Gravity, Generalizations and Cosmological Applications
• Variational Problem and Bigravity Nature of Modified Teleparallel Theories
• Thick string-like braneworlds in f(T) gravity
• Three-Dimensional Hairy Black Holes in Teleparallel Gravity
• Teleparallel Conformal Invariant Models induced by Kaluza-Klein Reduction
• Global portraits of nonminimal teleparallel inflation
• Proper time and conformal problem in Kaluza-Klein theory